Application of Differential Transformation Method for Nanofluid Flow in a Semi-Permeable Channel Considering Magnetic Field Effect

Mohsen Sheikholeslami; Mohammadreza Azimi; Davood Domiri Ganji

doi:10.1080/15502287.2015.1048384

Application of Differential Transformation Method for Nanofluid Flow in a Semi-Permeable Channel Considering Magnetic Field Effect

Mohsen Sheikholeslami, Mohammadreza Azimi (Corresponding Author), Davood Domiri Ganji

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

In this study, we propose a reliable algorithm to develop an analytical solution for the problem of laminar steady magnetohydrodymanics (MHD) nanofluid flow in a semi-permeable channel using the differential transformation method (DTM). The working fluid is water with copper nanoparticles. The effects of Hartmann number and Reynolds number on velocity profiles have been also considered for various numerical cases. The effective thermal conductivity and viscosity of nanofluid are calculated by the Maxwell and Brinkman models, respectively. A close agreement between the obtained solution and some well-known results has been established.

Original language	English
Pages (from-to)	246-255
Number of pages	10
Journal	International Journal for Computational Methods in Engineering Science and Mechanics
Volume	16
Issue number	4
DOIs	https://doi.org/10.1080/15502287.2015.1048384
Publication status	Published - 4 Jul 2015
Externally published	Yes

Keywords*

Differential Transformation Method (DTM)
Laminar Flow
MHD Flow
Nanofluid
Semi-Permeable Channel

Field of Science*

2.3 Mechanical engineering
2.10 Nano-technology

Publication Type*

1.1. Scientific article indexed in Web of Science and/or Scopus database

Access to Document

10.1080/15502287.2015.1048384

Cite this

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title = "Application of Differential Transformation Method for Nanofluid Flow in a Semi-Permeable Channel Considering Magnetic Field Effect",

abstract = "In this study, we propose a reliable algorithm to develop an analytical solution for the problem of laminar steady magnetohydrodymanics (MHD) nanofluid flow in a semi-permeable channel using the differential transformation method (DTM). The working fluid is water with copper nanoparticles. The effects of Hartmann number and Reynolds number on velocity profiles have been also considered for various numerical cases. The effective thermal conductivity and viscosity of nanofluid are calculated by the Maxwell and Brinkman models, respectively. A close agreement between the obtained solution and some well-known results has been established.",

keywords = "Differential Transformation Method (DTM), Laminar Flow, MHD Flow, Nanofluid, Semi-Permeable Channel",

author = "Mohsen Sheikholeslami and Mohammadreza Azimi and Ganji, \{Davood Domiri\}",

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language = "English",

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Application of Differential Transformation Method for Nanofluid Flow in a Semi-Permeable Channel Considering Magnetic Field Effect. / Sheikholeslami, Mohsen; Azimi, Mohammadreza (Corresponding Author); Ganji, Davood Domiri.
In: International Journal for Computational Methods in Engineering Science and Mechanics, Vol. 16, No. 4, 04.07.2015, p. 246-255.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Application of Differential Transformation Method for Nanofluid Flow in a Semi-Permeable Channel Considering Magnetic Field Effect

AU - Sheikholeslami, Mohsen

AU - Azimi, Mohammadreza

AU - Ganji, Davood Domiri

PY - 2015/7/4

Y1 - 2015/7/4

N2 - In this study, we propose a reliable algorithm to develop an analytical solution for the problem of laminar steady magnetohydrodymanics (MHD) nanofluid flow in a semi-permeable channel using the differential transformation method (DTM). The working fluid is water with copper nanoparticles. The effects of Hartmann number and Reynolds number on velocity profiles have been also considered for various numerical cases. The effective thermal conductivity and viscosity of nanofluid are calculated by the Maxwell and Brinkman models, respectively. A close agreement between the obtained solution and some well-known results has been established.

AB - In this study, we propose a reliable algorithm to develop an analytical solution for the problem of laminar steady magnetohydrodymanics (MHD) nanofluid flow in a semi-permeable channel using the differential transformation method (DTM). The working fluid is water with copper nanoparticles. The effects of Hartmann number and Reynolds number on velocity profiles have been also considered for various numerical cases. The effective thermal conductivity and viscosity of nanofluid are calculated by the Maxwell and Brinkman models, respectively. A close agreement between the obtained solution and some well-known results has been established.

KW - Differential Transformation Method (DTM)

KW - Laminar Flow

KW - MHD Flow

KW - Nanofluid

KW - Semi-Permeable Channel

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JO - International Journal for Computational Methods in Engineering Science and Mechanics

JF - International Journal for Computational Methods in Engineering Science and Mechanics

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Application of Differential Transformation Method for Nanofluid Flow in a Semi-Permeable Channel Considering Magnetic Field Effect

Abstract

Keywords*

Field of Science*

Publication Type*

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